On the g-Circulant Matrix involving the Generalized k-Horadam Numbers

zbMATH Open1315.11013arXiv1503.00511MaRDI QIDQ4914918

Nazmiye Yilmaz, N. Taskara, Yasin Yazlik

Publication date: 15 April 2013

Abstract: In this study, we present a new generalization of circulant matrices for the generalized $k$-Horadam numbers, by considering the $g$-circulant matrix $C_{n,g}(H)=g-circ(H_{k,1},H_{k,2},ldots,H_{k,n})$. Also, we calculate the spectral norm, determinant and inverse of $C_{n,g}(H)$ in such matrices having the elements of all second order sequences.

Full work available at URL: https://arxiv.org/abs/1503.00511

zbMATH Keywords

tridiagonal matrixgeneralized \(k\)-Fibonacci and \(k\)-Lucas numbers

Mathematics Subject Classification ID

Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Matrices, determinants in number theory (11C20)

Related Items (2)

Alternative proofs of some formulas for two tridiagonal determinants ⋮ On the determination of a tridiagonal matrix from its spectrum and a submatrix

This page was built for publication: On the g-Circulant Matrix involving the Generalized k-Horadam Numbers

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q4914918)